Richard Foster in his book, Prayer, refers to this kind of meditative prayer as “prayer of the heart” (p. 141). Quiet, reflective prayers are a way to overcome the mind’s tendency to wander and get distracted. It’s a way to increase your consciousness and appreciation of God’s presence. It’s a way to “let the word of Christ dwell in your richly” (Colossians 3:16).
http://www.soulshepherding.org/2012/07/breath-prayers/
Bill Gaultiere provides techniques for meditative prayer using breath, the body and scripture as a way to deepen one's prayer and connection to God from a Christian point of view. There are many lovely and creative techniques in this article. Some of these techniques are similar to centering prayer, but integrate scripture and the use of breath in different ways than centering prayer.
http://www.soulshepherding.org/2012/07/breath-prayers/